Does an equivalent company with more cash have the same EV?

If cash is implicitly accounted for in equity value, and Company A has $30 cash balance, and Company B has $10 cash balance, then A will have $20 higher equity value (market cap) than B. Right?

Now let's calculate enterprise value. In keeping with the numbers above, let's assume Company A has market cap of $130 and Company B has market cap $110. Both companies have the same amount of debt, preferred stock, and minority interest.

Company A Enterprise Value = Market Cap - Cash = 130 - 30 = $100
Company B Enterprise Value = Market Cap - Cash = 110 - 10 = $100

So the amount of cash a company has on its balance sheet does not affect enterprise value and, in turn, does not affect the cost of acquiring the company? Is this accurate or have I gone completely wrong? Thanks...